156/101 added to 82/2 in Fraction Form

The result of 156/101 added to 82/2 is: 42 55/101

Step-by-Step Solution

Step 1: Understand the Problem

We need to add the fractions 156101 and 822.

Step 2: Find the Least Common Multiple (LCM)

To add fractions, we need a common denominator. The LCM of 101 and 2 is 202.

Step 3: Convert Fractions to Equivalent Fractions

Convert 156101 to 312202
Convert 822 to 8282202

Step 4: Add the Numerators

Add the numerators: 312 + 8282 = 8594

Step 5: Simplify the Fraction

We can simplify 8594202 to its lowest form.
The greatest common divisor (GCD) of 8594 and 202 is 2.
Dividing both numerator and denominator by the GCD, we get 4297101.

Step 6: Convert to Mixed Number

The fraction 4297101 can be written as the mixed number 4255101.

Final Answer

The result of 156/101 added to 82/2 is:

156101+822=4255101

Understanding Fraction Addition

How to Add Fractions

To add fractions, you need to ensure they have a common denominator. Then add the numerators:

ab+cd=ad+bcbd (when denominators are different)

Or simply ab+cb=a+cb (when denominators are the same)

Why Simplify Fractions?

Simplifying fractions makes them easier to work with and understand. A fraction is in its simplest form when the numerator and denominator have no common factors other than 1.

To simplify a fraction, divide both the numerator and denominator by their greatest common divisor (GCD).

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